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Finding the Third Proportional to 313,009,422 and 686,485,020

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Solution

The third proportional to 313,009,422 and 686,485,020 is: 1,505,583,057.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,009,422 : 686,485,020 = 686,485,020 : x
  2. Step 2: Convert to fraction form
    313,009,422/686,485,020 = 686,485,020/x
  3. Step 3: Cross multiply
    313,009,422x = 686,485,020 × 686,485,020
  4. Step 4: Simplify right side
    313,009,422x = 471,261,682,684,400,384
  5. Step 5: Solve for x
    x = 471,261,682,684,400,384/313,009,422
  6. Step 6: Final answer
    x = 1,505,583,057.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.